Topic 1-4 Benchmark

A company loses $5,400 as the result of a manufacturing defect. Each of the 8 owners have agreed to contribute an equal amount, x, to help pay for the losses.

Which expression shows the total loss after the owners contribute some money?

• –5400 + 8x

• 
  

  5400 – 8x

• • 
    

    –5400 ÷ 8x

• 
  

  –5400 × 8x

• 
  

  3.75 miles

• 6.67 miles

• 17.5 miles

• 
  

  13.13 miles

Select all the products that are negative, if x is negative.

• 
  

  –6x

• 4x

• 
  

  –3(–x)

• 
  

  0x

• –x

Ariel collected information about mockingbirds for a science project.

How many times will a mockingbird beat its wings in 2 minutes? Enter the number in the box.

Each sheet cake requires 3 cups of flour and 2 cups of sugar. If a bakery has 75 cups of flour and 75 cups of sugar, how many sheet cakes can be made? Enter the number in the box.

Select all the expressions that are rational numbers.

• 
  

  3.14159…

• –9.1234567123…

• –9.293847210103938…

• 22/7

• –26

The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6. Terrence owns 36 models cars. How many model cars does Jim own?

The ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6. Terrence owns 36 models cars. How many model cars does Jim own?

How will the ratio change if Jim and Terrence each sell ten of their model cars?

• The ratio would stay the same

• 
  

  The new ratio would be 4 : 3.

• The new ratio would be 23 : 29.

• The new ratio would be 19 : 13.

What does the ordered pair (2.5, 20) represent in the situation?

• 
  

  $2.50 for 20 hours

• 
  

  $1 for 0.125 hours

• 
  

  $0.125 for 1 hour

• 
  

  $20 for 2.5 hours